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Question

If the number of elements of the sets A and B is p and q, respectively. Then, the number of relations from the set A to the set B is


A

2p+q

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B

2pq

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C

p+q

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D

pq

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Solution

The correct option is B

2pq


The explanation for the correct answer

Given: Set Aand B

Number of elements in Ais p

Number of elements in Bis q

The number of relations from a set to another set is given by 2mnwhere mand nare the number of elements.

Number of elements from Ato B is 2pq

Hence option (B) is the correct answer.


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